
Time bar (total: 9.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.2s | 5 245× | 1 | valid |
| 512.0ms | 1 123× | 0 | invalid |
| 493.0ms | 3 011× | 0 | valid |
ival-mult: 297.0ms (20.7% of total)const: 264.0ms (18.4% of total)adjust: 159.0ms (11.1% of total)ival-<: 150.0ms (10.5% of total)ival-div: 129.0ms (9% of total)ival-sqrt: 129.0ms (9% of total)ival-sub: 110.0ms (7.7% of total)ival-add: 76.0ms (5.3% of total)ival-neg: 71.0ms (4.9% of total)ival-and: 35.0ms (2.4% of total)exact: 11.0ms (0.8% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 240 | 1 | (1.238886696693031e-5 847.7043066015115 155719271.5573087) | 1 | (15462064686.926226 40.47852800141902 1.6091003220177155e-9) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 240 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 239 | 1 |
| - | 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 239 | 1 | 0 |
| - | 1 | 1 | 14 |
| number | freq |
|---|---|
| 0 | 16 |
| 1 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 328× | 1 | valid |
| 19.0ms | 184× | 0 | valid |
Compiled 219 to 52 computations (76.3% saved)
ival-mult: 12.0ms (29.8% of total)ival-div: 6.0ms (14.9% of total)adjust: 6.0ms (14.9% of total)ival-sqrt: 6.0ms (14.9% of total)ival-add: 4.0ms (9.9% of total)ival-sub: 4.0ms (9.9% of total)ival-neg: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1182 | 144 |
| 4 | 3216 | 144 |
| 5 | 6176 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 653 | 16 |
| 7 | 1117 | 16 |
| 8 | 2300 | 16 |
| 9 | 2599 | 16 |
| 10 | 2713 | 16 |
| 11 | 2768 | 16 |
| 12 | 2769 | 16 |
| 13 | 2769 | 16 |
| 0 | 2769 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 653 | 64 |
| 7 | 1117 | 64 |
| 8 | 2300 | 64 |
| 9 | 2599 | 64 |
| 10 | 2713 | 64 |
| 11 | 2768 | 64 |
| 12 | 2769 | 64 |
| 13 | 2769 | 64 |
| 0 | 2769 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09500753162065376 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.38671875 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 44.15497970692502 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 27.0ms | 164× | 1 | valid |
| 14.0ms | 92× | 0 | valid |
Compiled 134 to 26 computations (80.6% saved)
ival-mult: 10.0ms (41.6% of total)ival-div: 3.0ms (12.5% of total)adjust: 3.0ms (12.5% of total)ival-sqrt: 3.0ms (12.5% of total)ival-add: 2.0ms (8.3% of total)ival-sub: 2.0ms (8.3% of total)ival-neg: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | b | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 1972 |
| 1 | 1445 | 1955 |
| 2 | 4940 | 1932 |
| 0 | 8189 | 1837 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
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(- (pow b 2) (* 3 (* a c))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
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(* -1 b) |
(neg.f64 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
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(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64))))) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a)) #s(literal -1/3 binary64)) c) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) c) c (*.f64 (*.f64 c (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6871 | 43 |
| 0 | 8160 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) b) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 b b))) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
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(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) b (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 b b))) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) b)) |
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(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 16 757 to 1 924 computations (88.5% saved)
36 alts after pruning (36 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 36 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 36 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 30.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 30.8% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 92.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 89.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 94.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 92.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 92.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 30.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 30.6% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 30.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 30.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.8% | (*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 30.8% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 30.8% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 29.1% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| ▶ | 94.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 93.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 93.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 94.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 93.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 81.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 2 506 to 1 630 computations (35% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 320 | (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| cost-diff | 6144 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 655 |
| 0 | 125 | 655 |
| 1 | 213 | 645 |
| 2 | 472 | 637 |
| 3 | 1322 | 623 |
| 4 | 3103 | 613 |
| 5 | 4298 | 613 |
| 6 | 5030 | 613 |
| 7 | 6086 | 613 |
| 0 | 8194 | 599 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/3 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 c c) |
c |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -9/16 binary64)) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal 1/3 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b)) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) b) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c a)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) |
(*.f64 c #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) c) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (/.f64 a (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.265625 | (/.f64 a (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.26953125 | (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) | |
| accuracy | 4.1719737949656075 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 0.265625 | (/.f64 (*.f64 a a) b) | |
| accuracy | 0.34375 | (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) | |
| accuracy | 0.38671875 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 6.208818181090474 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.22265625 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.37728500976844204 | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 44.15497970692502 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| accuracy | 11.895885268722116 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| accuracy | 0.34212875976844204 | (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.3522262695368841 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 0.35546875 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 3.2273208490705194 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 210.0ms | 164× | 1 | valid |
| 48.0ms | 92× | 0 | valid |
Compiled 1 213 to 149 computations (87.7% saved)
ival-mult: 50.0ms (29% of total)ival-div: 31.0ms (18% of total)adjust: 30.0ms (17.4% of total)ival-add: 20.0ms (11.6% of total)ival-pow: 17.0ms (9.9% of total)const: 10.0ms (5.8% of total)ival-sqrt: 6.0ms (3.5% of total)ival-sub: 4.0ms (2.3% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(/.f64 (*.f64 a a) b) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) b) |
(/ (pow a 2) (pow b 5)) |
(/ a (pow b 3)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ c b) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (pow c 4) (pow b 6)) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | b | @ | 0 | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* -9/16 (pow c 3)) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (/ (* a a) b) (* a (/ a (pow b 5))) (/ a (pow b 3)) (/ a (pow b 5))) |
| 14.0ms | c | @ | -inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* -9/16 (pow c 3)) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (/ (* a a) b) (* a (/ a (pow b 5))) (/ a (pow b 3)) (/ a (pow b 5))) |
| 12.0ms | b | @ | -inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* -9/16 (pow c 3)) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (/ (* a a) b) (* a (/ a (pow b 5))) (/ a (pow b 3)) (/ a (pow b 5))) |
| 11.0ms | a | @ | inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* -9/16 (pow c 3)) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (/ (* a a) b) (* a (/ a (pow b 5))) (/ a (pow b 3)) (/ a (pow b 5))) |
| 11.0ms | a | @ | 0 | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (pow c 4) (pow b 6)) (/ (* -9/16 (pow c 3)) (pow b 5)) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (/ (* a a) b) (* a (/ a (pow b 5))) (/ a (pow b 3)) (/ a (pow b 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1168 | 6130 |
| 1 | 3762 | 6011 |
| 0 | 8289 | 5735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) b) |
(/ (pow a 2) (pow b 5)) |
(/ a (pow b 3)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ c b) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (pow c 4) (pow b 6)) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -2/3 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -2/3 binary64)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c)) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b)))) (*.f64 c c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 b #s(literal 3 binary64))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (/.f64 (*.f64 b c) #s(literal -3 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) c) #s(literal -1 binary64) (/.f64 (*.f64 b c) #s(literal -3 binary64))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) (neg.f64 c))) (*.f64 c c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 479 |
| 0 | 125 | 479 |
| 1 | 455 | 461 |
| 2 | 3571 | 457 |
| 0 | 8247 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(/.f64 (*.f64 a a) b) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -5 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -5 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (neg.f64 a) (pow.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 a (pow.f64 b #s(literal -5 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) |
(/.f64 (neg.f64 a) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 5 binary64)))) |
(neg.f64 (/.f64 a (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal -1 binary64))) |
Compiled 46 825 to 4 874 computations (89.6% saved)
57 alts after pruning (55 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 41 | 940 |
| Fresh | 17 | 14 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 919 | 57 | 976 |
| Status | Accuracy | Program |
|---|---|---|
| 32.1% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| ▶ | 32.2% | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
| 31.8% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))) | |
| 30.8% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.8% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) | |
| 32.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| 30.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 31.8% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| 32.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) | |
| 94.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 32.4% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)))) | |
| 31.9% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (neg.f64 b)))) | |
| 31.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) | |
| 32.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))))))) | |
| 32.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))) | |
| 31.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)))))) | |
| 31.4% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) | |
| 31.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) | |
| ✓ | 30.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 32.1% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))))) | |
| 30.9% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) a))) | |
| ▶ | 31.8% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
| 32.2% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) | |
| 94.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b)))) (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 93.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 90.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 93.4% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| ▶ | 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
| 90.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b))) | |
| 81.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 94.6% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (fma.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) a) #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) c))))) b))) | |
| 93.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b))) | |
| 30.6% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 30.4% | (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 30.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.8% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))) | |
| ▶ | 94.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 94.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) b)) c)) | |
| 90.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) b)) c)) | |
| ▶ | 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| ✓ | 81.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 4 312 to 2 692 computations (37.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| cost-diff | 192 | (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| cost-diff | 320 | (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) | |
| cost-diff | 320 | (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 912 |
| 0 | 155 | 912 |
| 1 | 298 | 882 |
| 2 | 732 | 858 |
| 3 | 2062 | 846 |
| 4 | 4634 | 840 |
| 0 | 8210 | 814 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(literal 1/3 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(*.f64 #s(literal 3 binary64) a) |
(fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(literal 1/3 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2/3 binary64) b) |
#s(literal -2/3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) c))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) c))) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) c)) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(*.f64 (fma.f64 b (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
(fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(fma.f64 b (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35679628907376804 | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) | |
| accuracy | 0.375 | (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) | |
| accuracy | 0.40234375 | (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) | |
| accuracy | 43.622246513542564 | (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.234375 | (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) | |
| accuracy | 0.26171875 | (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) | |
| accuracy | 0.37728500976844204 | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| accuracy | 43.703521793342645 | (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0.30078125 | (*.f64 a (/.f64 c b)) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -2/3 binary64) b) | |
| accuracy | 0.37728500976844204 | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| accuracy | 5.9745557543794225 | #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.2421875 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 4.1719737949656075 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 11.888851713377711 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.3203125 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) | |
| accuracy | 0.32421875 | (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) | |
| accuracy | 0.34765625 | (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) | |
| accuracy | 3.2273208490705194 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 267.0ms | 166× | 1 | valid |
| 123.0ms | 90× | 0 | valid |
Compiled 1 648 to 215 computations (87% saved)
ival-mult: 140.0ms (41% of total)ival-div: 50.0ms (14.6% of total)ival-sqrt: 37.0ms (10.8% of total)adjust: 31.0ms (9.1% of total)ival-pow: 30.0ms (8.8% of total)ival-add: 28.0ms (8.2% of total)const: 14.0ms (4.1% of total)ival-sub: 8.0ms (2.3% of total)exact: 2.0ms (0.6% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 #s(literal -2/3 binary64) b) |
(*.f64 a (/.f64 c b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2/3 b) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(* -3 (* a c)) |
(/ -1/3 c) |
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (* -3/2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (* -3/2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(pow b 3) |
(+ (* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(/ (* a c) b) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) |
(* a (+ (* 3 (* a (+ (* -3 c) (* -3/2 c)))) (* 3 (+ (* 2 (pow b 2)) (pow b 2))))) |
(* a (+ (* 3 (+ (* 2 (pow b 2)) (pow b 2))) (* a (+ (* -27/8 (/ (* a (pow c 2)) (pow b 2))) (* 3 (+ (* -3 c) (* -3/2 c))))))) |
(* a (+ (* 3 (+ (* 2 (pow b 2)) (pow b 2))) (* a (+ (* 3 (+ (* -3 c) (* -3/2 c))) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 4))) (* -27/8 (/ (pow c 2) (pow b 2))))))))) |
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/3 (* a (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (* a (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/3 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/8 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* 1/2 (/ a b)) |
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))) |
(* -1/3 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) |
(* a (+ (* -3 c) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))))) |
(* a (+ (* -3 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* 3 (* (pow a 2) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* (pow a 2) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a)))))) |
(* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))))) |
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) |
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -3 (* (pow a 2) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* 6 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* -1 (/ (+ (* -6 (pow b 2)) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* -1 (/ (+ (* -6 (pow b 2)) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 c))))) |
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3)))) |
(+ (* -3 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- 1 (* 1/2 (/ (* (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2)))))) (sqrt -27))))))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* -3/8 (pow b 2)) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -9 (* (pow a 2) c)) |
(+ (* -9 (* (pow a 2) c)) (* 3 (* (sqrt (* (pow a 3) c)) (* b (sqrt -3))))) |
(+ (* -9 (* (pow a 2) c)) (* b (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* 6 (* a b))))) |
(+ (* -9 (* (pow a 2) c)) (* b (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 6 a)))))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* 1/3 (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* b (+ (* 1/3 (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/18 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/27 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (* 1/3 (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27))))))))))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ a (pow b 2)))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2/3 (/ 1 c)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) |
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* 9 (* a (pow b 2))) |
(* (pow b 2) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a))) |
(* (pow b 2) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a)))) |
(* (pow b 2) (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) a)) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))) (+ (* -3/32 (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(+ (* -3 (* a c)) (* 3/2 (* a c))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -3 (* a c)) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* 3 (* a (pow b 2))) |
(* (pow b 2) (+ (* 3 a) (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))))) |
(* (pow b 2) (+ (* 3 a) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))) (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ (* 3 a) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* 9/8 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (+ (* 27/8 (* (pow a 2) (pow c 3))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (* -3/2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (* -3/2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(+ (* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(+ (* 3 (* a (* c (+ (* -3 a) (* -3/2 a))))) (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) (* c (+ (* -27/8 (/ (* (pow a 3) c) (pow b 2))) (* 3 (* a (+ (* -3 a) (* -3/2 a))))))) |
(+ (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) (* c (+ (* 3 (* a (+ (* -3 a) (* -3/2 a)))) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 4))) (* -27/8 (/ (pow a 3) (pow b 2)))))))) |
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/3 (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/3 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) |
(* c (+ (* -3 a) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))))) |
(* c (+ (* -3 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* 3 (* a (* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c)))))) |
(* 1/3 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))))) |
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) |
(* (pow c 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -3 (* a (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -6 (/ (* a (pow b 2)) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))) (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 a) c) (* b b)) 3/2) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/8 (* b b)) (* -2/3 b) (* a (/ c b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))) (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))))) |
| 21.0ms | c | @ | -inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))) (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 a) c) (* b b)) 3/2) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/8 (* b b)) (* -2/3 b) (* a (/ c b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))) (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))))) |
| 18.0ms | a | @ | -inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))) (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 a) c) (* b b)) 3/2) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/8 (* b b)) (* -2/3 b) (* a (/ c b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))) (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))))) |
| 17.0ms | b | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))) (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 a) c) (* b b)) 3/2) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/8 (* b b)) (* -2/3 b) (* a (/ c b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))) (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))))) |
| 15.0ms | a | @ | 0 | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1/3 (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (- (+ (* (* -3 a) c) (* b b)) (* b b)) (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* (* -3 a) c) (* b b)) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))) (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (pow (+ (* (* -3 a) c) (* b b)) 3/2) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/8 (* b b)) (* -2/3 b) (* a (/ c b)) (/ 1/3 (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b))) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))) (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2625 | 20104 |
| 1 | 7698 | 19944 |
| 0 | 9046 | 19028 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2/3 b) |
(+ (* -2/3 b) (* 1/2 (/ (* a c) b))) |
(* -3 (* a c)) |
(/ -1/3 c) |
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (* -3/2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (* -3/2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(pow b 3) |
(+ (* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(/ (* a c) b) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) |
(* a (+ (* 3 (* a (+ (* -3 c) (* -3/2 c)))) (* 3 (+ (* 2 (pow b 2)) (pow b 2))))) |
(* a (+ (* 3 (+ (* 2 (pow b 2)) (pow b 2))) (* a (+ (* -27/8 (/ (* a (pow c 2)) (pow b 2))) (* 3 (+ (* -3 c) (* -3/2 c))))))) |
(* a (+ (* 3 (+ (* 2 (pow b 2)) (pow b 2))) (* a (+ (* 3 (+ (* -3 c) (* -3/2 c))) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 4))) (* -27/8 (/ (pow c 2) (pow b 2))))))))) |
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/3 (* a (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (* a (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/3 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/8 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* 1/2 (/ a b)) |
(* a (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))) |
(* -1/3 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) |
(* a (+ (* -3 c) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))))) |
(* a (+ (* -3 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* 3 (* (pow a 2) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* (pow a 2) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (* 6 (/ (pow b 2) a)))))) |
(* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))))) |
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (* 2 (pow b 2))) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) |
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -3 (* (pow a 2) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* 6 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* -1 (/ (+ (* -6 (pow b 2)) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))) (* -1 (/ (+ (* -6 (pow b 2)) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 c))))) |
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3)))) |
(+ (* -3 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- 1 (* 1/2 (/ (* (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2)))))) (sqrt -27))))))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* -3/8 (pow b 2)) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -9 (* (pow a 2) c)) |
(+ (* -9 (* (pow a 2) c)) (* 3 (* (sqrt (* (pow a 3) c)) (* b (sqrt -3))))) |
(+ (* -9 (* (pow a 2) c)) (* b (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* 6 (* a b))))) |
(+ (* -9 (* (pow a 2) c)) (* b (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 6 a)))))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* 1/3 (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* b (+ (* 1/3 (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/18 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/27 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (* 1/3 (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27))))))))))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))) |
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ a (pow b 2)))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2/3 (/ 1 c)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) |
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* 9 (* a (pow b 2))) |
(* (pow b 2) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a))) |
(* (pow b 2) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a)))) |
(* (pow b 2) (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* -3/2 (* a c)))) (pow b 2))) (* 9 a))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) a)) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))) (+ (* -3/32 (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(+ (* -3 (* a c)) (* 3/2 (* a c))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -3 (* a c)) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* (pow b 2) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* 3 (* a (pow b 2))) |
(* (pow b 2) (+ (* 3 a) (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))))) |
(* (pow b 2) (+ (* 3 a) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))) (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ (* 3 a) (+ (* 3 (/ (* a (+ (* -3 (* a c)) (* 3/2 (* a c)))) (pow b 2))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* 9/8 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (+ (* 27/8 (* (pow a 2) (pow c 3))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (* -3/2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (* -3/2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(+ (* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(+ (* 3 (* a (* c (+ (* -3 a) (* -3/2 a))))) (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) (* c (+ (* -27/8 (/ (* (pow a 3) c) (pow b 2))) (* 3 (* a (+ (* -3 a) (* -3/2 a))))))) |
(+ (* 3 (* a (+ (* 2 (pow b 2)) (pow b 2)))) (* c (+ (* 3 (* a (+ (* -3 a) (* -3/2 a)))) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 4))) (* -27/8 (/ (pow a 3) (pow b 2)))))))) |
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/3 (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/3 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) |
(* c (+ (* -3 a) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))))) |
(* c (+ (* -3 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* 3 (* a (* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -3)))) (+ (* 3 (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))) (* 6 (/ (* a (pow b 2)) c)))))) |
(* 1/3 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))))) |
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 2 (pow b 2))) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) |
(* (pow c 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -3 (* a (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -6 (/ (* a (pow b 2)) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
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(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
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(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) |
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(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) c) (*.f64 (/.f64 b a) (/.f64 c #s(literal 3 binary64))))) c))) |
(* -3 (* a (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 a c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) |
(* -1 (* c (+ (* -6 (/ (* a (pow b 2)) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -6 binary64) (*.f64 a (/.f64 (*.f64 b b) c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 6 binary64) (*.f64 a (*.f64 b b)))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (* 6 (* a (pow b 2)))) c)) (* 3 (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) a) (*.f64 b b) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) c))) c))))) |
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))))) c) (*.f64 (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 27 binary64))) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 9 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)))))) c) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)))))))) c))) c))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 708 |
| 0 | 155 | 708 |
| 1 | 647 | 625 |
| 2 | 5549 | 625 |
| 0 | 8265 | 603 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
#s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) |
(-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b)) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 #s(literal -2/3 binary64) b) |
(*.f64 a (/.f64 c b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64)))) (fma.f64 #s(literal 81/256 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))))) |
(/.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 b c) #s(literal 6 binary64)))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 b #s(literal -3/8 binary64))) b (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 b #s(literal -3/8 binary64)) (*.f64 b (*.f64 c c)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 #s(literal -9/16 binary64) a)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -9/16 binary64) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 a (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 c (*.f64 (*.f64 c c) (*.f64 #s(literal -9/16 binary64) a)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 c (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(+.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) a)) a (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) a)) a (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) a)) a (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (*.f64 (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (*.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
Compiled 81 162 to 6 815 computations (91.6% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 250 | 18 | 1 268 |
| Fresh | 34 | 16 | 50 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 287 | 38 | 1 325 |
| Status | Accuracy | Program |
|---|---|---|
| 32.1% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| ▶ | 30.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 99.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) | |
| 30.8% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 30.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| ▶ | 99.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)))) | |
| 30.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 90.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) c)) #s(literal 3 binary64))) | |
| 99.1% | (/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) b))) | |
| ✓ | 30.8% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 99.2% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) a) c #s(literal 0 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| 99.0% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a #s(approx (- (+ (* (* -3 a) c) (* b b)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| 99.0% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| 99.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| ▶ | 99.1% | (/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) |
| 90.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) | |
| 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) | |
| ✓ | 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c))) |
| 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c))) | |
| 81.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 81.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 90.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) #s(approx (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 b b) c) (*.f64 #s(literal 1/2 binary64) a)) b)))) | |
| 90.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) #s(approx (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (*.f64 a (fma.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1/2 binary64) b)))))) | |
| 94.7% | (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) | |
| 30.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| ▶ | 30.8% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| 80.9% | #s(approx (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) | |
| ▶ | 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 93.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) b)) c)) | |
| 90.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) b)) c)) | |
| ✓ | 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| ✓ | 81.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 2 202 to 1 500 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 640 | (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) | |
| cost-diff | 896 | (/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 512 | (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) | |
| cost-diff | 1024 | (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 350 |
| 0 | 56 | 338 |
| 1 | 99 | 330 |
| 2 | 236 | 313 |
| 3 | 745 | 311 |
| 4 | 4172 | 311 |
| 5 | 7923 | 311 |
| 0 | 8196 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) |
#s(literal 1/3 binary64) |
(*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) |
a |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) |
(neg.f64 c) |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) |
(*.f64 c #s(literal -3 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
#s(literal 0 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
#s(literal 1/3 binary64) |
(*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
a |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
#s(literal 0 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) | |
| accuracy | 0.2734375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| accuracy | 0.296875 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) | |
| accuracy | 0.37728500976844204 | (/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.23046875 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| accuracy | 0.28125 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| accuracy | 44.15497970692502 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.38119125976844204 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.40234375 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 44.15497970692502 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.0 | (/.f64 b c) | |
| accuracy | 0.234375 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 11.895885268722116 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.140625 | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.2734375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) | |
| accuracy | 0.2890625 | (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) | |
| accuracy | 0.30078125 | (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) |
| 110.0ms | 196× | 1 | valid |
| 15.0ms | 60× | 0 | valid |
Compiled 723 to 74 computations (89.8% saved)
ival-div: 22.0ms (30.1% of total)ival-mult: 17.0ms (23.3% of total)adjust: 9.0ms (12.3% of total)ival-add: 8.0ms (11% of total)ival-sqrt: 6.0ms (8.2% of total)const: 4.0ms (5.5% of total)ival-sub: 4.0ms (5.5% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 b c) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) |
(*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
| Outputs |
|---|
(* -3 c) |
(* -1 c) |
(* -3 (* a c)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -1/3 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ b c) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 (* a c)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 (* a c)))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ a (pow b 2)))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2/3 (/ 1 c)))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 (* a c))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (+ (* 3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b))))) c) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | inf | ((/ (+ (* (* -3 c) a) 0) a) (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (* (* -3 c) a) 0) (/ (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ 1/3 (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)))) (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) (* b b))) |
| 3.0ms | c | @ | inf | ((/ (+ (* (* -3 c) a) 0) a) (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (* (* -3 c) a) 0) (/ (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ 1/3 (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)))) (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) (* b b))) |
| 3.0ms | c | @ | -inf | ((/ (+ (* (* -3 c) a) 0) a) (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (* (* -3 c) a) 0) (/ (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ 1/3 (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)))) (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) (* b b))) |
| 3.0ms | a | @ | -inf | ((/ (+ (* (* -3 c) a) 0) a) (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (* (* -3 c) a) 0) (/ (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ 1/3 (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)))) (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) (* b b))) |
| 3.0ms | b | @ | -inf | ((/ (+ (* (* -3 c) a) 0) a) (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (* (* -3 c) a) 0) (/ (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (* (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ 1/3 a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ 1/3 (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)))) (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (+ (* (* -3 c) a) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1145 | 6790 |
| 1 | 3709 | 6585 |
| 0 | 8390 | 6285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3 c) |
(* -1 c) |
(* -3 (* a c)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2/3 (/ b c)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -1/3 (* (sqrt (/ a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3))))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1/3 (/ b (* a c)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ b c)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ b c))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (/ b c))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ b c) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* -1/3 (/ b c))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 c))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -3)))) (* 1/3 (/ 1 (* a c)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (* 1/3 (/ 1 (* a c)))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ a (pow b 2)))) (* 2/3 (/ 1 c)))) |
(* b (- (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))))) (* 2/3 (/ 1 c)))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* 3/8 (/ (* a c) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 1/2 (/ 1 (pow b 2))))) (* 2/3 (/ 1 (* a c))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))) c) |
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))) c) |
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (+ (* 3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b))))) c) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/3 (/ b c)) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -3 c) |
(*.f64 #s(literal -3 binary64) c) |
(* -1 c) |
(neg.f64 c) |
(* -3 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -3 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) a (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(* -2/3 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -2/3 binary64)) |
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) |
(+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) |
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) |
(* -2/3 (/ b (* a c))) |
(*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64)) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* 3/8 (/ c (pow b 3))) (* 9/16 (/ (* a (pow c 2)) (pow b 5))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/.f64 (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 b b) #s(literal -3 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(/.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 b b) #s(literal -3 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)) c)) (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 b b) #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 b #s(literal -3 binary64)))) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
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(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (/.f64 c #s(literal 3 binary64)) (/.f64 b a))) c)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 a a))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))) (neg.f64 c)) #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b c) a))) c)) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 b)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c)) b) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c)) (/.f64 b a)) (neg.f64 c))) (neg.f64 c)) |
(+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) c)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 211 |
| 0 | 56 | 204 |
| 1 | 232 | 196 |
| 2 | 1956 | 196 |
| 0 | 8649 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 b c) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))))) |
(*.f64 a (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a #s(literal 0 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 a (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 a c))) |
(*.f64 (pow.f64 (/.f64 a (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) a) (/.f64 #s(literal -1/3 binary64) (*.f64 a c))) |
(*.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) a) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a))) |
(*.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) a))) |
(*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a)) |
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(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))) |
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(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (pow.f64 a #s(literal -1 binary64))) |
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
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(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal 1 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (neg.f64 a))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (/.f64 b a))))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (/.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 a a)) (/.f64 (*.f64 a b) (*.f64 a a))) |
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) (/.f64 (*.f64 b b) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
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(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 0 binary64)) a) (/.f64 b a)) |
(-.f64 (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) (/.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) a) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) a)) |
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(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (/.f64 b a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (neg.f64 (/.f64 b a))) |
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(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) a) (-.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
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(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (pow.f64 a #s(literal -1 binary64))) |
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(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) a) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
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(*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a (*.f64 #s(literal -1 binary64) (*.f64 a c))))))) |
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(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1/3 binary64) a)) |
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(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) a) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a) (/.f64 #s(literal 1/3 binary64) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a (*.f64 #s(literal -1 binary64) (*.f64 a c)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 a c)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))) (neg.f64 a)) |
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(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (neg.f64 a)) |
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(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) (/.f64 #s(literal -1/3 binary64) (*.f64 a c))) |
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(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a) |
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
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(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) |
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(fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (pow.f64 b #s(literal 4 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a c) #s(literal 3 binary64) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 a c)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 a c)) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) b) b)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)))) (*.f64 b b)) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 (neg.f64 a) (*.f64 c #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (neg.f64 a) (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 1 binary64) (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal 3 binary64) c) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)) |
(fma.f64 a (neg.f64 (*.f64 c #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 a (neg.f64 (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) (neg.f64 a) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) (neg.f64 a) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal 3 binary64) a) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 c (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (neg.f64 (*.f64 a c)) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(fabs.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(hypot.f64 (*.f64 b (neg.f64 b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(hypot.f64 (*.f64 (neg.f64 b) b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(hypot.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(+.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 0 binary64)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 b b))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)) |
(+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
Compiled 72 381 to 6 754 computations (90.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 064 | 14 | 2 078 |
| Fresh | 18 | 11 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 2 | 4 |
| Total | 2 088 | 28 | 2 116 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.3% | (/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) | |
| 30.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 99.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (/ (+ (* (* -3 c) a) 0) a) (*.f64 #s(literal -3 binary64) c))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.4% | (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) | |
| 81.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 99.8% | (/.f64 #s(approx (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a (*.f64 #s(literal -1 binary64) (*.f64 a c))))) | |
| 90.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2/3 binary64) b)) c)) #s(literal 3 binary64))) | |
| 99.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (/.f64 #s(literal -1/3 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| 81.0% | (/.f64 #s(literal 1/3 binary64) (*.f64 a #s(approx (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))))) | |
| 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) | |
| 90.3% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 b #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c))) | |
| 81.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (*.f64 #s(literal -2/3 binary64) b)) c))) | |
| 81.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) | |
| 90.1% | (/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) #s(approx (/ (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) c) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 b b) c) (*.f64 #s(literal 1/2 binary64) a)) b)))) | |
| 90.2% | (/.f64 #s(literal 1/3 binary64) #s(approx (* a (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0))) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal -2/3 binary64) c)) b))) | |
| 99.2% | (*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) | |
| 20.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) | |
| 81.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))) | |
| 80.9% | #s(approx (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) | |
| ✓ | 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 81.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| ✓ | 81.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| ✓ | 81.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 4 728 to 1 288 computations (72.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ a (- (+ (* (* -3 a) c) (* b b)) (* b b))) (+ (sqrt (+ (* (* -3 a) c) (* b b))) b)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))))))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b)))) (*.f64 #s(literal 3/8 binary64) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (fma.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) a) #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) c))))) b))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
5 calls:
| 52.0ms | c |
| 33.0ms | b |
| 32.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 31.0ms | (*.f64 #s(literal 3 binary64) a) |
| 31.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | a |
| 99.8% | 1 | b |
| 99.8% | 1 | c |
| 99.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
Total -39.0b remaining (-328.2%)
Threshold costs -39b (-328.2%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) #s(approx (/ a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* a (/ c b)) 1/2) (* -2/3 b)) (*.f64 #s(literal -2/3 binary64) b)) c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (- (pow (+ (* (* -3 a) c) (* b b)) 3/2) (pow b 3)) (* (* 3 a) (+ (* b b) (+ (+ (* (* -3 a) c) (* b b)) (* (sqrt (+ (* (* -3 a) c) (* b b))) b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a #s(approx (/ (+ (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) 0)) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | a |
| 4.0ms | c |
| 4.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 1 | a |
| 81.4% | 1 | b |
| 81.4% | 1 | c |
| 81.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 81.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 47 |
| 1 | 59 | 46 |
| 2 | 129 | 44 |
| 3 | 278 | 42 |
| 4 | 455 | 42 |
| 5 | 1122 | 42 |
| 6 | 2547 | 42 |
| 7 | 4712 | 42 |
| 8 | 6727 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (/ (+ (* (* -3 c) a) 0) a)) (neg.f64 c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 708 |
| 0 | 155 | 708 |
| 1 | 647 | 625 |
| 2 | 5549 | 625 |
| 0 | 8265 | 603 |
| 0 | 73 | 479 |
| 0 | 125 | 479 |
| 1 | 455 | 461 |
| 2 | 3571 | 457 |
| 0 | 8247 | 453 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6871 | 43 |
| 0 | 8160 | 40 |
| 0 | 1145 | 6790 |
| 1 | 3709 | 6585 |
| 0 | 8390 | 6285 |
| 0 | 470 | 1972 |
| 1 | 1445 | 1955 |
| 2 | 4940 | 1932 |
| 0 | 8189 | 1837 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 146 to 82 computations (43.8% saved)
Compiled 132 to 90 computations (31.8% saved)
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